Speaker
Matt Alexander
(University of Regina)
Description
Frobenius algebras and Hopf algebras generalize algebras of functions and Lie groups/Lie algebras, respectively. Appropriate constructions involving these two types of algebras link together concepts from functional analysis with those from Lie theory. As quantum field theories often involve a mixture of analytic and algebraic structures (for instance, performing analysis on operator-valued distributions), Hopf-Frobenius constructions may play an important role in understanding the underlying structure of these theories.
In this talk we will introduce the notion of a Hopf-Frobenius module, and show how the Wightman axioms can be viewed as natural axioms on a collection of such modules.
Author
Matt Alexander
(University of Regina)
